# thermal_speed_lite

plasmapy.formulary.speeds.thermal_speed_lite(T: Real, mass: Real, coeff: Real) Real

The “lite-function” version of thermal_speed. Performs the same thermal speed calculations as thermal_speed, but is intended for computational use and, thus, has data conditioning safeguards removed.

$v_{th} = C_o \sqrt{\frac{k_B T}{m}}$

where $$T$$ is the temperature associated with the distribution, $$m$$ is the particle’s mass, and $$C_o$$ is a constant of proportionality determined by the method in which $$v_{th}$$ is calculated and the dimensionality of the system (1D, 2D, 3D). For further details see the Notes section in the thermal_speed documentation.

Parameters
Returns

vth – Thermal speed of the Maxwellian distribution in units of m/s.

Return type

Real

Examples

>>> from plasmapy.particles import Particle
>>> mass = Particle("p").mass.value
>>> coeff = thermal_speed_coefficients(method="most_probable", ndim=3)
>>> thermal_speed_lite(T=1e6, mass=mass, coeff=coeff)
128486...